Information on Result #678267

Linear OA(4252, 1048660, F4, 31) (dual of [1048660, 1048408, 32]-code), using construction X applied to Ce(30) ⊂ Ce(21) based on
  1. linear OA(4231, 1048576, F4, 31) (dual of [1048576, 1048345, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(4161, 1048576, F4, 22) (dual of [1048576, 1048415, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  3. linear OA(421, 84, F4, 8) (dual of [84, 63, 9]-code), using
    • 1 times truncation [i] based on linear OA(422, 85, F4, 9) (dual of [85, 63, 10]-code), using
      • the BCH-code C(I) with length 85 | 44−1, defining interval I = {−20,−17,−14,…,4}, and designed minimum distance d ≥ |I|+1 = 10 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(4252, 524330, F4, 2, 31) (dual of [(524330, 2), 1048408, 32]-NRT-code) [i]OOA Folding
2Linear OOA(4252, 349553, F4, 3, 31) (dual of [(349553, 3), 1048407, 32]-NRT-code) [i]